H E L P :(

What is the ratio of fiction novels to all novels? 11 to 5 2:5 5/11 5 to 2

how many texts did he start with? is there more to the problem?

Answer:

The best possible answer would be

D The product of eight and a number increased by four

Have a good day ( =

The required verbal expression for the given expression is given as "product of 8 and sum of number and 4".

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
In the given expression,
8(y + 4)

Now,
The above expression can be modeled as,
Product of 8 and sum of a number  and 4

Thus, the required verbal expression for the given expression is given as "product of 8 and sum of number and 4".

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Answer:

-64

Step-by-step explanation:

I used calculator hehe :)))))))

Answer:

-64

Step-by-step explanation:

-4 × -4 × -4 = 16 × -4 = -64

Answer:

 -7x⁴+5x³-10x²-4x-7 - 4/4x+7

Step-by-step explanation:

Given the division problem, (28x⁵ + 29x⁴ + 5x³ + 86x² + 56x + 53) by (–4x – 7), find the solution in the attachment below.

The polynomial of a function is expressed as P(x) = Q(x) + R(x)/D(x)

Q(x) is the quotient

R(x) is the remainder

D(x) is the divisor

Accordin gto the divsion, Q(x) = -7x⁴+5x³-10x²-4x-7

R(x) = 4

D(x) = -4x-7

Substituting this functions in the polynomial P(x);

P(x) =  -7x⁴+5x³-10x²-4x-7 - 4/4x+7

If median=20,mode=21 then mean is 19.5

Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.

Mean is the sum of all observations and number of observations,

Median is the middle most number and mode is the most occurring number.

The emperical formula to find mean when mode and median is given as

3 Median = 2 Mean + Mode

2mean=3median-mode

2mean=3(20)-21

2mean=60-21

2mean=39

Divide both sides by 2

Mean=39/2

=19.5

Hence, median=20,mode=21 then mean is 19.5

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The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.

To begin, let's identify the best way to divide the total area. For this, there are 2 options:

Let's use the first pattern:

Based on this, the dimensions for each section should be 75 centimeters by 100 centimeters.

Note: This question is incomplete; here is the missing section:

Dimensions of the garden: 3 meters x 2 meters

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The expression that gives the correct volume of the figure will be [(8 x 5 x 4) + (4 x 4 x 4)]. Thus, the correct option is D.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The figure is a combination of the rectangular prism and cube. Then the volume of the figure is calculated as,

V = Volume of rectangular prism + Volume of a cube

V = (8 x 5 x 4) + (4 x 4 x 4)

Thus, the correct option is D.

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The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

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The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

The values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.

Given are two right triangles we need to find the missing sides,

We will use Trigonometric ratios to find the same.

We know that,

Sin a = perpendicular / hypotenuse

Cos a = base / hypotenuse

Tan a = perpendicular / base

1) Sin 60° = x / 4√3

x = √3/2 × 4√3

x = 6

Cos 60° = y / 4√3

1/2 × 4√3 = y

y = 2√3

2) Cos 60° = x / 98

x = 1/2 × 98

x = 49

Sin 60° = y / 98

√3/2 = y / 98

y = 49√3

Hence the values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.

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Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

Answer:

1 1/4 miles

Step-by-step explanation:

ΔABC ≅ ΔCDE is proved by using SAS congruence theorem.

        For example:  AB= PQ

                                AC= PR

        The angle between AC and AB = The angle between PR and PQ,

                                                 A = P (according to SAS theorem)

      ∠B≅∠D

       Applying SAS congruence theorem,

       AB = CD

       AC = CE

      So, BC = DE

        ΔABC ≅ ΔCDE

        Also, Δ ABC ≅ Δ PQR.

        Hence Proved.

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Step-by-step explanation:

4 feet of ribbon = 1 bow

118 feet of ribbon = 118/4 = 29 1/2 bows

The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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Answer:

2.697/56

Step-by-step explanation:

The expression log 32 is 3.465 when the values of log4 is 1.386 and log 8 is 2.079

An expression is combination of variables, numbers and operators.

Logarithm, the exponent or power to which a base must be raised to yield a given number.

Given that  log 4= 1.386 and log 8 = 2.079

We have to find the value of log 32.

We know that the product of 4 and 8 is 32

Log mn= Log m + Log n

Log 32 = Log 4 + Log 8

=1.386 + 2.079

=3.465

Hence, the expression log 32 is 3.465 when the values of log4 is 1.386 and log 8 is 2.079

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Let'sAnswer:

A. 1/7

B. 3/7

Step-by-step explanation:

Let's represent the class by sevenths. So there could be any number possible that's divisible by 7. To keep it simple, let's use the number 7 as the total number of students.

4/7 of the students are girls, meaning that in our imaginary total of seven students, 4 of those are girls.

It also says that 1/4 of the girls play the trombone and the other girls play the drums. Since we have 4 girls, then 1 of the girls plays the trombone, and the other 3 play the drums.

Now, we have to combine our data.

If 3/4 of the girls play drums and there are 4 girls, then 3/7 of the class are girls who play drums, and 1/7 of the class are girls who play the trombone.

Keep in mind that the total is unknown, we just used the number 7 to simplify it. In this context, the problem can be done with any number divisible by 7 as the total.

Answer:

Area of rectangle OABC = 18 units²

Step-by-step explanation:

From the graph attached,

Vertices of the rectangle are O(0, 0), C(3, 0) and A(0, 6).

Length of side AO = 6 units

Length of side OC = 3 units

Area of the rectangle = Length × Width

                                    = OC × AO

                                    = 3 × 6

                                    = 18 square units

The correct answer is choice-A \(\sqrt{7x^{2} +14x}\), on the basis of product of irrational numbers which states that \(\sqrt{p}\) × \(\sqrt{q} = \sqrt{pq}\)

What are irrational numbers?

The numbers which are not rational are irrational. The rational numbers can be expressed in the form of p/q whereas irrational cannot be expresses in p/q. The decimal expansion of rational numbers is terminating or non-terminating-repeating. The irrational numbers have is non-terminating and non-recurring decimal as decimal expansion. If any number is in fractional form, and its denominator has factors only in form of 2ᵃ and/or 5ᵇ then its rational number. If it has any factor other than 2ᵃ and/or 5ᵇ then it will be irrational number.

Using the operations of rational numbers:

\(\sqrt{p}\) × \(\sqrt{q} = \sqrt{pq}\)

Here the two numbers are \(\sqrt{7x}\)  .  \(\sqrt{x+2}\)

product of these numbers= \(\sqrt{7x}\)  .  \(\sqrt{x+2}\)

                                           =\(\sqrt{7x(x+2)}\)

                                           = \(\sqrt{7x^{2} +14x}\),

∴The correct answer is choice-A \(\sqrt{7x^{2} +14x}\)

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Answer:

b

Step-by-step explanation:

75 percent of 20 is 15 and 100 percent of 20 is 20

The number of gallons of water should her new fish tank hold is to be considered as the option b. 35 gallons.

Since

Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds.

The old fish tank holds 20 gallons of water.

So we can say that

= 75% of 20 + 100% of 20

= 15 + 20

= 35

Hence, the option b is correct.

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

x= 10.25

Step-by-step explanation:

#According to the source,

=> x^2+(3√5)^2 = (x+2)^2

=> x^2+9×5 = x^2+2×x×2+2^2

=> x^2+45 = x^2+4x+4

=> x^2+45-x^2-4x-4 = 0

=> - 4x+41 = 0

=> -4x = - 41

=> x = 41/4

=> x = 10.25

...........I'm sure...........100%

Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

=============================================

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

----------------------------------------

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.